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Finding the Fourth Proportional to 513.08, 769.50 and 224.36

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Solution

The fourth proportional to 513.08, 769.50 and 224.36 is: 336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.08 : 769.50 = 224.36 : x
  2. Step 2: Convert to fraction form
    513.08/769.50 = 224.36/x
  3. Step 3: Cross multiply
    513.08x = 769.50 × 224.36
  4. Step 4: Simplify right side
    513.08x = 172,645.02
  5. Step 5: Solve for x
    x = 172,645.02/513.08
  6. Step 6: Final answer
    x = 336.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.